Features mathematical modeling techniques and real-world processes
with applications in diverse fields Mathematical Modeling with
Multidisciplinary Applications details the interdisciplinary nature
of mathematical modeling and numerical algorithms. The book
combines a variety of applications from diverse fields to
illustrate how the methods can be used to model physical processes,
design new products, find solutions to challenging problems, and
increase competitiveness in international markets. Written by
leading scholars and international experts in the field, the book
presents new and emerging topics in areas including finance and
economics, theoretical and applied mathematics, engineering and
machine learning, physics, chemistry, ecology, and social science.
In addition, the book thoroughly summarizes widely used
mathematical and numerical methods in mathematical modeling and
features: * Diverse topics such as partial differential equations
(PDEs), fractional calculus, inverse problems by ordinary
differential equations (ODEs), semigroups, decision theory, risk
analysis, Bayesian estimation, nonlinear PDEs in financial
engineering, perturbation analysis, and dynamic system modeling *
Case studies and real-world applications that are widely used for
current mathematical modeling courses, such as the green house
effect and Stokes flow estimation * Comprehensive coverage of a
wide range of contemporary topics, such as game theory, statistical
models, and analytical solutions to numerical methods * Examples,
exercises with select solutions, and detailed references to the
latest literature to solidify comprehensive learning * New
techniques and applications with balanced coverage of PDEs,
discrete models, statistics, fractional calculus, and more
Mathematical Modeling with Multidisciplinary Applications is an
excellent book for courses on mathematical modeling and applied
mathematics at the upper-undergraduate and graduate levels. The
book also serves as a valuable reference for research scientists,
mathematicians, and engineers who would like to develop further
insights into essential mathematical tools.
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